93 lines
5.3 KiB
Markdown
93 lines
5.3 KiB
Markdown
[](https://opensource.org/licenses/MIT)
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[](https://standardjs.com)
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[](https://github.com/juanelas/bigint-crypto-utils/actions?query=workflow%3A%22build%22)
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[](https://coveralls.io/github/juanelas/bigint-crypto-utils?branch=master)
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# bigint-crypto-utils
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Arbitrary precision modular arithmetic, cryptographically secure random numbers and strong probable prime generation/testing.
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It relies on the native JS implementation of ([BigInt](https://tc39.es/ecma262/#sec-bigint-objects)). It can be used by any [Web Browser or webview supporting BigInt](https://developer.mozilla.org/en-US/docs/Web/JavaScript/Reference/Global_Objects/BigInt#Browser_compatibility) and with Node.js (>=10.4.0). The bundles can be imported directly by the browser or in Angular projects, React apps, Node.js, etc.
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Secure random numbers are generated using the native crypto implementation of the browsers ([Web Cryptography API](https://w3c.github.io/webcrypto/)) or [Node.js Crypto](https://nodejs.org/dist/latest/docs/api/crypto.html). Strong probable prime generation and testing use Miller-Rabin primality tests and are automatically sped up using parallel workers both in browsers and Node.js.
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> The operations supported on BigInts are not constant time. BigInt can be therefore **[unsuitable for use in cryptography](https://www.chosenplaintext.ca/articles/beginners-guide-constant-time-cryptography.html).** Many platforms provide native support for cryptography, such as [Web Cryptography API](https://w3c.github.io/webcrypto/) or [Node.js Crypto](https://nodejs.org/dist/latest/docs/api/crypto.html).
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## Usage
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`bigint-crypto-utils` can be imported to your project with `npm`:
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```console
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npm install bigint-crypto-utils
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```
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Then either require (Node.js CJS):
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```javascript
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const bigintCryptoUtils = require('bigint-crypto-utils')
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```
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> **Node >=10.4 <11**. `bigint-crypto-utils` uses workers to speed up some operations. Workers are enabled by default with Node.js from version 11. In order to use them with Node >=10.4 and <11, you need to execute node with the flag `--experimental-worker`, and require the .js file manually (otherwise .cjs is required by default and would not be supported by the workers)
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>
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> ```javascript
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> const bigintCryptoUtils = require('bigint-crypto-utils/dist/cjs/index.node') // ONLY FOR node >=10.4 <11 !
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> ```
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or import (JavaScript ES module):
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```javascript
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import * as bigintCryptoUtils from 'bigint-crypto-utils'
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```
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The appropriate version for browser or node is automatically exported.
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> `bigint-crypto-utils` uses [ES2020 BigInt](https://tc39.es/ecma262/#sec-bigint-objects), so take into account that:
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>
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> 1. If you experience issues using webpack/babel to create your production bundles, you may edit the supported browsers list and leave only [supported browsers and versions](https://developer.mozilla.org/en-US/docs/Web/JavaScript/Reference/Global_Objects/BigInt#Browser_compatibility). The browsers list is usually located in your project's `package.json` or the `.browserslistrc` file.
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> 2. In order to use `bigint-crypto-utils` with TypeScript you need to set `target`, and `lib` and `module` if in use, to `ES2020` in your project's `tsconfig.json`.
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You can also download the [IIFE bundle](https://raw.githubusercontent.com/juanelas/bigint-crypto-utils/master/dist/bundles/iife.js), the [ESM bundle](https://raw.githubusercontent.com/juanelas/bigint-crypto-utils/master/dist/bundles/esm.min.js) or the [UMD bundle](https://raw.githubusercontent.com/juanelas/bigint-crypto-utils/master/dist/bundles/umd.js) and manually add it to your project, or, if you have already installed `bigint-crypto-utils` in your project, just get the bundles from `node_modules/bigint-crypto-utils/dist/bundles/`.
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An example of usage could be (complete examples can be found in the [examples](https://github.com/juanelas/bigint-crypto-utils/tree/master/examples) directory):
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```typescript
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/* A BigInt with value 666 can be declared calling the bigint constructor as
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BigInt('666') or with the shorter 666n.
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Notice that you can also pass a number to the constructor, e.g. BigInt(666).
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However, it is not recommended since values over 2**53 - 1 won't be safe but
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no warning will be raised.
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*/
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const a = BigInt('5')
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const b = BigInt('2')
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const n = 19n
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console.log(bigintCryptoUtils.modPow(a, b, n)) // prints 6
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console.log(bigintCryptoUtils.modInv(2n, 5n)) // prints 3
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console.log(bigintCryptoUtils.modInv(BigInt('3'), BigInt('5'))) // prints 2
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console.log(bigintCryptoUtils.randBetween(2n ** 256n)) // Prints a cryptographically secure random number between 1 and 2**256 (both included).
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async function primeTesting (): void {
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// Output of a probable prime of 2048 bits
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console.log(await bigintCryptoUtils.prime(2048))
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// Testing if a number is a probable prime (Miller-Rabin)
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const number = 27n
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const isPrime = await bigintCryptoUtils.isProbablyPrime(number)
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if (isPrime === true) {
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console.log(`${number} is prime`)
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} else {
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console.log(`${number} is composite`)
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}
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}
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primeTesting()
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```
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## API reference documentation
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[Check the API](./docs/API.md)
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